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Finding the Fourth Proportional to 11,534, 17,302.08 and 3,740.72

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Solution

The fourth proportional to 11,534, 17,302.08 and 3,740.72 is: 5,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534 : 17,302.08 = 3,740.72 : x
  2. Step 2: Convert to fraction form
    11,534/17,302.08 = 3,740.72/x
  3. Step 3: Cross multiply
    11,534x = 17,302.08 × 3,740.72
  4. Step 4: Simplify right side
    11,534x = 64,722,236.70
  5. Step 5: Solve for x
    x = 64,722,236.70/11,534
  6. Step 6: Final answer
    x = 5,611.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.